Essays on Game Theory Approaches in Environmental and Engineering Systems

This thesis fills several knowledge gaps in decision-making processes and equilibrium analysis in various scenarios. Firstly, it introduces new analytical stages, such as using social choice rules and the Related games concept, to analyze equilibria in the GMCR methodology and predict the most likely outcomes with applications in managing water resource conflicts. Additionally, it provides a sensitivity analysis of the players' preferences and options in water conflicts. Secondly, it emphasizes the importance of considering evolving changes in the decision-making environment and introduces the concept of the interconnection of evolving games as well as the evolving of interconnected games. This study highlights the importance of considering the evolving structure of games in decision-making processes. Thirdly, we examine the impact of information sharing on the performance of a supply chain, specifically in the context of a manufacturer and a retailer. The study sheds light on the benefits and trade-offs associated with sharing information by analyzing the supply chain's performance under scenarios of information sharing and no information sharing. Overall, this thesis enriches our analytical tools and insights into decision-making processes, the application of game theory methodologies and equilibrium analysis, and the need to enhance understanding and improve performance in complex systems.